Question

3 there is \\(\frac{5}{6}\\) of a pie on a table. mother cuts the pie equally to be shared among 10 people. what fraction of the whole pie does each person get?

Explanation:

Step1: Understand the problem

We have \(\frac{5}{6}\) of a pie and we need to divide it equally among 10 people. So we need to find \(\frac{5}{6}\div10\).

Step2: Divide the fraction by the number

Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 10 is \(\frac{1}{10}\). So \(\frac{5}{6}\div10=\frac{5}{6}\times\frac{1}{10}\).

Step3: Multiply the fractions

Multiply the numerators: \(5\times1 = 5\). Multiply the denominators: \(6\times10=60\). So we get \(\frac{5}{60}\).

Step4: Simplify the fraction

We can simplify \(\frac{5}{60}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 5. \(\frac{5\div5}{60\div5}=\frac{1}{12}\).

Answer:

\(\frac{1}{12}\)